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Finding the Fourth Proportional to 470.56, 653.74 and 466.34

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Solution

The fourth proportional to 470.56, 653.74 and 466.34 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 653.74 = 466.34 : x
  2. Step 2: Convert to fraction form
    470.56/653.74 = 466.34/x
  3. Step 3: Cross multiply
    470.56x = 653.74 × 466.34
  4. Step 4: Simplify right side
    470.56x = 304,865.11
  5. Step 5: Solve for x
    x = 304,865.11/470.56
  6. Step 6: Final answer
    x = 647.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.